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465 lines
14 KiB
465 lines
14 KiB
// Copyright 2017 The Abseil Authors.
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//
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// Licensed under the Apache License, Version 2.0 (the "License");
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// you may not use this file except in compliance with the License.
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// You may obtain a copy of the License at
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//
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// https://www.apache.org/licenses/LICENSE-2.0
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//
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// Unless required by applicable law or agreed to in writing, software
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// distributed under the License is distributed on an "AS IS" BASIS,
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// WITHOUT WARRANTIES OR CONDITIONS OF ANY KIND, either express or implied.
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// See the License for the specific language governing permissions and
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// limitations under the License.
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#include "absl/synchronization/internal/graphcycles.h"
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#include <map>
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#include <random>
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#include <unordered_set>
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#include <utility>
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#include <vector>
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#include "gtest/gtest.h"
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#include "absl/base/internal/raw_logging.h"
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#include "absl/base/macros.h"
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namespace absl {
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ABSL_NAMESPACE_BEGIN
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namespace synchronization_internal {
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// We emulate a GraphCycles object with a node vector and an edge vector.
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// We then compare the two implementations.
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using Nodes = std::vector<int>;
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struct Edge {
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int from;
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int to;
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};
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using Edges = std::vector<Edge>;
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using RandomEngine = std::mt19937_64;
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// Mapping from integer index to GraphId.
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typedef std::map<int, GraphId> IdMap;
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static GraphId Get(const IdMap& id, int num) {
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auto iter = id.find(num);
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return (iter == id.end()) ? InvalidGraphId() : iter->second;
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}
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// Return whether "to" is reachable from "from".
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static bool IsReachable(Edges *edges, int from, int to,
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std::unordered_set<int> *seen) {
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seen->insert(from); // we are investigating "from"; don't do it again
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if (from == to) return true;
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for (const auto &edge : *edges) {
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if (edge.from == from) {
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if (edge.to == to) { // success via edge directly
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return true;
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} else if (seen->find(edge.to) == seen->end() && // success via edge
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IsReachable(edges, edge.to, to, seen)) {
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return true;
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}
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}
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}
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return false;
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}
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static void PrintEdges(Edges *edges) {
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ABSL_RAW_LOG(INFO, "EDGES (%zu)", edges->size());
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for (const auto &edge : *edges) {
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int a = edge.from;
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int b = edge.to;
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ABSL_RAW_LOG(INFO, "%d %d", a, b);
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}
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ABSL_RAW_LOG(INFO, "---");
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}
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static void PrintGCEdges(Nodes *nodes, const IdMap &id, GraphCycles *gc) {
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ABSL_RAW_LOG(INFO, "GC EDGES");
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for (int a : *nodes) {
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for (int b : *nodes) {
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if (gc->HasEdge(Get(id, a), Get(id, b))) {
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ABSL_RAW_LOG(INFO, "%d %d", a, b);
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}
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}
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}
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ABSL_RAW_LOG(INFO, "---");
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}
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static void PrintTransitiveClosure(Nodes *nodes, Edges *edges) {
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ABSL_RAW_LOG(INFO, "Transitive closure");
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for (int a : *nodes) {
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for (int b : *nodes) {
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std::unordered_set<int> seen;
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if (IsReachable(edges, a, b, &seen)) {
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ABSL_RAW_LOG(INFO, "%d %d", a, b);
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}
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}
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}
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ABSL_RAW_LOG(INFO, "---");
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}
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static void PrintGCTransitiveClosure(Nodes *nodes, const IdMap &id,
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GraphCycles *gc) {
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ABSL_RAW_LOG(INFO, "GC Transitive closure");
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for (int a : *nodes) {
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for (int b : *nodes) {
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if (gc->IsReachable(Get(id, a), Get(id, b))) {
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ABSL_RAW_LOG(INFO, "%d %d", a, b);
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}
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}
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}
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ABSL_RAW_LOG(INFO, "---");
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}
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static void CheckTransitiveClosure(Nodes *nodes, Edges *edges, const IdMap &id,
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GraphCycles *gc) {
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std::unordered_set<int> seen;
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for (const auto &a : *nodes) {
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for (const auto &b : *nodes) {
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seen.clear();
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bool gc_reachable = gc->IsReachable(Get(id, a), Get(id, b));
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bool reachable = IsReachable(edges, a, b, &seen);
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if (gc_reachable != reachable) {
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PrintEdges(edges);
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PrintGCEdges(nodes, id, gc);
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PrintTransitiveClosure(nodes, edges);
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PrintGCTransitiveClosure(nodes, id, gc);
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ABSL_RAW_LOG(FATAL, "gc_reachable %s reachable %s a %d b %d",
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gc_reachable ? "true" : "false",
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reachable ? "true" : "false", a, b);
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}
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}
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}
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}
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static void CheckEdges(Nodes *nodes, Edges *edges, const IdMap &id,
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GraphCycles *gc) {
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int count = 0;
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for (const auto &edge : *edges) {
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int a = edge.from;
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int b = edge.to;
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if (!gc->HasEdge(Get(id, a), Get(id, b))) {
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PrintEdges(edges);
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PrintGCEdges(nodes, id, gc);
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ABSL_RAW_LOG(FATAL, "!gc->HasEdge(%d, %d)", a, b);
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}
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}
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for (const auto &a : *nodes) {
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for (const auto &b : *nodes) {
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if (gc->HasEdge(Get(id, a), Get(id, b))) {
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count++;
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}
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}
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}
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if (count != edges->size()) {
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PrintEdges(edges);
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PrintGCEdges(nodes, id, gc);
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ABSL_RAW_LOG(FATAL, "edges->size() %zu count %d", edges->size(), count);
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}
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}
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static void CheckInvariants(const GraphCycles &gc) {
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if (ABSL_PREDICT_FALSE(!gc.CheckInvariants()))
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ABSL_RAW_LOG(FATAL, "CheckInvariants");
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}
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// Returns the index of a randomly chosen node in *nodes.
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// Requires *nodes be non-empty.
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static int RandomNode(RandomEngine* rng, Nodes *nodes) {
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std::uniform_int_distribution<int> uniform(0, nodes->size()-1);
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return uniform(*rng);
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}
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// Returns the index of a randomly chosen edge in *edges.
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// Requires *edges be non-empty.
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static int RandomEdge(RandomEngine* rng, Edges *edges) {
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std::uniform_int_distribution<int> uniform(0, edges->size()-1);
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return uniform(*rng);
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}
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// Returns the index of edge (from, to) in *edges or -1 if it is not in *edges.
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static int EdgeIndex(Edges *edges, int from, int to) {
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int i = 0;
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while (i != edges->size() &&
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((*edges)[i].from != from || (*edges)[i].to != to)) {
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i++;
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}
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return i == edges->size()? -1 : i;
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}
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TEST(GraphCycles, RandomizedTest) {
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int next_node = 0;
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Nodes nodes;
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Edges edges; // from, to
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IdMap id;
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GraphCycles graph_cycles;
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static const int kMaxNodes = 7; // use <= 7 nodes to keep test short
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static const int kDataOffset = 17; // an offset to the node-specific data
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int n = 100000;
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int op = 0;
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RandomEngine rng(testing::UnitTest::GetInstance()->random_seed());
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std::uniform_int_distribution<int> uniform(0, 5);
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auto ptr = [](intptr_t i) {
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return reinterpret_cast<void*>(i + kDataOffset);
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};
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for (int iter = 0; iter != n; iter++) {
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for (const auto &node : nodes) {
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ASSERT_EQ(graph_cycles.Ptr(Get(id, node)), ptr(node)) << " node " << node;
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}
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CheckEdges(&nodes, &edges, id, &graph_cycles);
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CheckTransitiveClosure(&nodes, &edges, id, &graph_cycles);
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op = uniform(rng);
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switch (op) {
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case 0: // Add a node
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if (nodes.size() < kMaxNodes) {
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int new_node = next_node++;
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GraphId new_gnode = graph_cycles.GetId(ptr(new_node));
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ASSERT_NE(new_gnode, InvalidGraphId());
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id[new_node] = new_gnode;
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ASSERT_EQ(ptr(new_node), graph_cycles.Ptr(new_gnode));
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nodes.push_back(new_node);
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}
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break;
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case 1: // Remove a node
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if (nodes.size() > 0) {
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int node_index = RandomNode(&rng, &nodes);
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int node = nodes[node_index];
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nodes[node_index] = nodes.back();
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nodes.pop_back();
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graph_cycles.RemoveNode(ptr(node));
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ASSERT_EQ(graph_cycles.Ptr(Get(id, node)), nullptr);
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id.erase(node);
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int i = 0;
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while (i != edges.size()) {
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if (edges[i].from == node || edges[i].to == node) {
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edges[i] = edges.back();
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edges.pop_back();
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} else {
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i++;
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}
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}
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}
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break;
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case 2: // Add an edge
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if (nodes.size() > 0) {
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int from = RandomNode(&rng, &nodes);
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int to = RandomNode(&rng, &nodes);
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if (EdgeIndex(&edges, nodes[from], nodes[to]) == -1) {
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if (graph_cycles.InsertEdge(id[nodes[from]], id[nodes[to]])) {
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Edge new_edge;
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new_edge.from = nodes[from];
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new_edge.to = nodes[to];
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edges.push_back(new_edge);
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} else {
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std::unordered_set<int> seen;
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ASSERT_TRUE(IsReachable(&edges, nodes[to], nodes[from], &seen))
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<< "Edge " << nodes[to] << "->" << nodes[from];
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}
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}
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}
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break;
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case 3: // Remove an edge
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if (edges.size() > 0) {
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int i = RandomEdge(&rng, &edges);
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int from = edges[i].from;
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int to = edges[i].to;
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ASSERT_EQ(i, EdgeIndex(&edges, from, to));
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edges[i] = edges.back();
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edges.pop_back();
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ASSERT_EQ(-1, EdgeIndex(&edges, from, to));
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graph_cycles.RemoveEdge(id[from], id[to]);
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}
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break;
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case 4: // Check a path
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if (nodes.size() > 0) {
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int from = RandomNode(&rng, &nodes);
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int to = RandomNode(&rng, &nodes);
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GraphId path[2*kMaxNodes];
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int path_len = graph_cycles.FindPath(id[nodes[from]], id[nodes[to]],
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ABSL_ARRAYSIZE(path), path);
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std::unordered_set<int> seen;
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bool reachable = IsReachable(&edges, nodes[from], nodes[to], &seen);
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bool gc_reachable =
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graph_cycles.IsReachable(Get(id, nodes[from]), Get(id, nodes[to]));
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ASSERT_EQ(path_len != 0, reachable);
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ASSERT_EQ(path_len != 0, gc_reachable);
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// In the following line, we add one because a node can appear
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// twice, if the path is from that node to itself, perhaps via
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// every other node.
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ASSERT_LE(path_len, kMaxNodes + 1);
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if (path_len != 0) {
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ASSERT_EQ(id[nodes[from]], path[0]);
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ASSERT_EQ(id[nodes[to]], path[path_len-1]);
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for (int i = 1; i < path_len; i++) {
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ASSERT_TRUE(graph_cycles.HasEdge(path[i-1], path[i]));
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}
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}
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}
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break;
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case 5: // Check invariants
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CheckInvariants(graph_cycles);
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break;
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default:
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ABSL_RAW_LOG(FATAL, "op %d", op);
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}
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// Very rarely, test graph expansion by adding then removing many nodes.
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std::bernoulli_distribution one_in_1024(1.0 / 1024);
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if (one_in_1024(rng)) {
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CheckEdges(&nodes, &edges, id, &graph_cycles);
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CheckTransitiveClosure(&nodes, &edges, id, &graph_cycles);
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for (int i = 0; i != 256; i++) {
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int new_node = next_node++;
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GraphId new_gnode = graph_cycles.GetId(ptr(new_node));
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ASSERT_NE(InvalidGraphId(), new_gnode);
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id[new_node] = new_gnode;
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ASSERT_EQ(ptr(new_node), graph_cycles.Ptr(new_gnode));
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for (const auto &node : nodes) {
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ASSERT_NE(node, new_node);
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}
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nodes.push_back(new_node);
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}
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for (int i = 0; i != 256; i++) {
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ASSERT_GT(nodes.size(), 0);
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int node_index = RandomNode(&rng, &nodes);
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int node = nodes[node_index];
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nodes[node_index] = nodes.back();
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nodes.pop_back();
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graph_cycles.RemoveNode(ptr(node));
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id.erase(node);
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int j = 0;
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while (j != edges.size()) {
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if (edges[j].from == node || edges[j].to == node) {
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edges[j] = edges.back();
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edges.pop_back();
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} else {
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j++;
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}
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}
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}
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CheckInvariants(graph_cycles);
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}
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}
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}
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class GraphCyclesTest : public ::testing::Test {
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public:
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IdMap id_;
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GraphCycles g_;
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static void* Ptr(int i) {
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return reinterpret_cast<void*>(static_cast<uintptr_t>(i));
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}
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static int Num(void* ptr) {
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return static_cast<int>(reinterpret_cast<uintptr_t>(ptr));
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}
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// Test relies on ith NewNode() call returning Node numbered i
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GraphCyclesTest() {
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for (int i = 0; i < 100; i++) {
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id_[i] = g_.GetId(Ptr(i));
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}
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CheckInvariants(g_);
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}
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bool AddEdge(int x, int y) {
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return g_.InsertEdge(Get(id_, x), Get(id_, y));
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}
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void AddMultiples() {
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// For every node x > 0: add edge to 2*x, 3*x
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for (int x = 1; x < 25; x++) {
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EXPECT_TRUE(AddEdge(x, 2*x)) << x;
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EXPECT_TRUE(AddEdge(x, 3*x)) << x;
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}
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CheckInvariants(g_);
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}
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std::string Path(int x, int y) {
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GraphId path[5];
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int np = g_.FindPath(Get(id_, x), Get(id_, y), ABSL_ARRAYSIZE(path), path);
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std::string result;
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for (int i = 0; i < np; i++) {
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if (i >= ABSL_ARRAYSIZE(path)) {
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result += " ...";
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break;
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}
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if (!result.empty()) result.push_back(' ');
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char buf[20];
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snprintf(buf, sizeof(buf), "%d", Num(g_.Ptr(path[i])));
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result += buf;
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}
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return result;
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}
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};
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TEST_F(GraphCyclesTest, NoCycle) {
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AddMultiples();
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CheckInvariants(g_);
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}
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TEST_F(GraphCyclesTest, SimpleCycle) {
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AddMultiples();
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EXPECT_FALSE(AddEdge(8, 4));
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EXPECT_EQ("4 8", Path(4, 8));
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CheckInvariants(g_);
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}
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TEST_F(GraphCyclesTest, IndirectCycle) {
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AddMultiples();
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EXPECT_TRUE(AddEdge(16, 9));
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CheckInvariants(g_);
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EXPECT_FALSE(AddEdge(9, 2));
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EXPECT_EQ("2 4 8 16 9", Path(2, 9));
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CheckInvariants(g_);
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}
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TEST_F(GraphCyclesTest, LongPath) {
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ASSERT_TRUE(AddEdge(2, 4));
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ASSERT_TRUE(AddEdge(4, 6));
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ASSERT_TRUE(AddEdge(6, 8));
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ASSERT_TRUE(AddEdge(8, 10));
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ASSERT_TRUE(AddEdge(10, 12));
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ASSERT_FALSE(AddEdge(12, 2));
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EXPECT_EQ("2 4 6 8 10 ...", Path(2, 12));
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CheckInvariants(g_);
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}
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TEST_F(GraphCyclesTest, RemoveNode) {
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ASSERT_TRUE(AddEdge(1, 2));
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ASSERT_TRUE(AddEdge(2, 3));
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ASSERT_TRUE(AddEdge(3, 4));
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ASSERT_TRUE(AddEdge(4, 5));
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g_.RemoveNode(g_.Ptr(id_[3]));
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id_.erase(3);
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ASSERT_TRUE(AddEdge(5, 1));
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}
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TEST_F(GraphCyclesTest, ManyEdges) {
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const int N = 50;
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for (int i = 0; i < N; i++) {
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for (int j = 1; j < N; j++) {
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ASSERT_TRUE(AddEdge(i, i+j));
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}
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}
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CheckInvariants(g_);
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ASSERT_TRUE(AddEdge(2*N-1, 0));
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CheckInvariants(g_);
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ASSERT_FALSE(AddEdge(10, 9));
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CheckInvariants(g_);
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}
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} // namespace synchronization_internal
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ABSL_NAMESPACE_END
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} // namespace absl
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